On the Proof of Recursive Vogler Algorithm for Multiple Knife-Edge Diffraction

We consider the problem of multiple knife-edge diffraction estimation that is a fundamental task in many wireless communication applications. So far, one most accurate methods for this Vogler whose recursive implementation efficient to reduce high computational complexity direct one. However, original report, only presented final result algorithm without rigorous mathematical proof, thus making method difficult understand and implement practice. To tackle shortcoming, we first analyze structure then present formal proof result. gain intuition key steps, provide simplified study case four knife edges. The insight from our proposed analysis can be used obtain comprehensive interpretation, initiate practical implementation, develop new algorithms with similar structure.